Acompany logo is a white square inside a red square. the side length of the white square is x+2. the side length of the red square is three times the side length of the white square. what is the area of the red part of the logo? write your answer in standard form.

The problem says that the company logo is square in shape, therefore it has an area of the side of of it multiplied by itself. you also have two squares, the white square inside the red square. You are given the side of the white square as x + 2 and the side of the red square as 3(x + 2). This can be solved through ratio and proportion.  

A (white square) = (x + 2)^2
A (red square) = [3(x +2)]^2  

A (red square)/A (white square) = [3(x +2)]^2/(x + 2)^2
A (red square)/A (white square) = 3^2 = 9